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Finding the Fourth Proportional to 13,832.30, 19,088.49 and 7,863.97

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Solution

The fourth proportional to 13,832.30, 19,088.49 and 7,863.97 is: 10,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.30 : 19,088.49 = 7,863.97 : x
  2. Step 2: Convert to fraction form
    13,832.30/19,088.49 = 7,863.97/x
  3. Step 3: Cross multiply
    13,832.30x = 19,088.49 × 7,863.97
  4. Step 4: Simplify right side
    13,832.30x = 150,111,312.71
  5. Step 5: Solve for x
    x = 150,111,312.71/13,832.30
  6. Step 6: Final answer
    x = 10,852.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.